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Finding the Third Proportional to 9,614 and 19,430

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Solution

The third proportional to 9,614 and 19,430 is: 39,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 19,430 = 19,430 : x
  2. Step 2: Convert to fraction form
    9,614/19,430 = 19,430/x
  3. Step 3: Cross multiply
    9,614x = 19,430 × 19,430
  4. Step 4: Simplify right side
    9,614x = 377,524,900
  5. Step 5: Solve for x
    x = 377,524,900/9,614
  6. Step 6: Final answer
    x = 39,268.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.